9. In order to investigate a rumor that there is a greater than expected number of girls among thechildren of chemists, Science magazine conducted an informal survey of eight chemistrydepartments. A secretary in the chemistry department at Indiana University, Bloomington,thought there might be something to this rumor and made sure that every one of the 34 facultymembers in her department who have children responded to the Science survey. Altogetherthese Indiana chemists have 53 (56%) girls and 41 (44%) boys. Is this evidence that chemistsproduce more girl babies than expected? What kind of data would you prefer before drawingthis type of conclusion? Explain how your idea would make the evidence produced moreconvincing.

Hypotheses:Denote p as the true population proportion of girl children of chemists.The chemistry…

Answered: 9. In order to investigate a rumor that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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5. Suppose that 68% of all adults think that airplanes would be safer places if airline passengers were banned from carrying on board any luggage, including purses, computers, and briefcases. An opinion poll plans to ask an SRS of 1023 adults about airplane safety. The proportion of the sample who think that airplanes would be safer if passengers were banned from carrying on board any luggage, including purses, computers, and briefcases, will vary if we take many samples from this same population. The sampling distribution of the sample proportion is approximately Normal with mean 0.68 and standard deviation about 0.015. Sketch this Normal curve and use it to answer the following question. Round to nearest tenth percent. What is the probability of getting a sample in which more than 70% think that airplanes would be safer if passengers were banned from carrying on board any luggage, including purses, computers, and briefcases?
1. The percentage of 12- to 17-year-olds who reported talking at least once in the past year with their parents about the dangers of drug, tobacco, or alcohol is 60% nationally. A state youth council believes this proportion is higher in their state, where there has been an intense media campaign about this issue. A survey of randomly chosen students from across the state shows 1032 of 1642 students reporting they are having these conversations with their parents. Is there evidence that the percent of students using drugs, tobacco or alcohol in this state is above the national rate?
According the the U.S. Census bureau, the percentage of Santa Ana residents with a bachelor's degree or higher is 14% and the percentage of Irvine residents with a bachelor's degree or higher is 68.5%. Suppose that the sample sizes were 1000 for the Santa Ana group and 1000 for the irvine group. Is there enough evidence to conclude that people who live in Irvine have a higher level of education compared to people living in Santa Ana?
THE MANAGER OF A SERVICE STATION IS IN THE PROCESS OF ANALYZING THE NUMBER OF TIMES CAR OWNERS CHANGE THE OIL IN THEIR CARS. SHE BELIEVES THAT THE AVERAGE MOTORIST CHANGES HIS OR HER CAR'S OIL LESS FREQUENTLY THAN RECOMMENDED BY THE OWNER'S MANUAL (TWO TIMES PER YEAR). IN A PRELIMINARY SURVEY SHE ASKED 14 CAR OWNERS HOW MANY TIMES THEY CHANGED THEIR CARS' OIL IN THE LAST 12 MONTHS. THE RESULTS ARE 1, 1, 2, 0, 3, 3,0, 1, 0, 1, 2, 3, 3, AND 1. 2.1 Does this data provide sufficient evidence at the 10% significance level to indicate that the manager is correct? 2.2 Ho: H₁: Rejection region: Test statistic: Decision: Conclusion: What condition is required in order to analyze this data using a t-test?
16. The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.6% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick twelve first-time, full-time freshmen from the survey. You are interested in the number that believes that same-sex couples should have the right to legal marital status.What is the standard deviation (?)? (Round your answer to four decimal places.)? = ___________
2. A political scientist developed a test designed to measure the degree of awareness of current events. She wants to estimate the average score that would be achieved on this test by all students in a certain high school. The administration at the school will not allow the experimenter to randomly select students out of classes in session, but it will allow her to interrupt a small number of classes for the purpose of giving the test to every member of the class. Thus, the experimenter selects 25 classes at random from the 108 classes in session at a particular hour. The test is given to each member of the sampled classes, with results as shown in the accompanying table. Number of students, mi Total score, yi Class 1 31 1590 2 29 1510 3 25 1490 4 35 1610 5 15 800 6 31 1720
b) A certain pay television company wishes to estimate the proportion of its customers who would purchase a pay television program guide. To do this, the company manager decides to select a random sample of customers and note the number who would purchase a program guide. Suppose that experience in other areas suggests that about 13% of customers will purchase a program guide. How many customers should the company manager include in his sample if he wishes to estimate the true proportion who will purchase the program guide correct to within 5% (0.05) with a confidence level of 95%?
The school district sets up two locations to help students with technical difficulties over the summer. They believe the technicians they have assigned to location 2 are being lazy and not helping students as much as they should be so they take a random sample of 15 students from each of the two locations and ask if their technical issue had been resolved (over 200 students had asked for assistance at each location). Twelve of the 15 students from location 1 reported their technical issue had been resolved and 8 of the 15 students from location 2 reported their technical issue had been resolved. Is this convincing evidence that the technicians from location 2 are being lazy and not helping students as much as those from location 1?
The GfK Custom Research Organization conducted identical surveys five years apart. One question asked women: “Are most men basically kind, gentle, and thoughtful"? The earlier survey revealed that, of the 3550 women surveyed, 2350 said that they were. In the later survey, 2250 of the 3550 women surveyed thought that men were kind, gentle, and thoughtful. Can we conclude that women think men are less kind, gentle, and thoughtful in the later survey compared with the earlier one? Use 0.01 significance level. Calculate and interpret the p-value. a. State the decision rule. (Negative answer should be indicated by a minus sign. Round the final answer to 3 decimal places.) The decision rule is to reject Ho if z is less than b. Compute the pooled proportion. (Round the final answer to 2 decimal places.) The pooled proportion is: c. Compute the value of the test statistic. (Negative answer should be indicated by a minus sign. Round the final answer to 2 decimal places.) The test statistic is:…
As part of the marketing group at a film studio, you are asked to find out the age distribution of the audience of the studio's latest family friendly film. With the help of 10 of your colleagues, you conduct exit interviews by randomly selecting people to question at 20 different movie theatres. From 468 responses, you find out that 42 are younger than 6, 84 are 6 to 9 years old, 158 are 10 to 14, 22 are 15 to 21, and 162 are older than 21. Complete parts a and b below. a) Make a frequency table for the age distribution of the audience. Age Range Frequency Under 6 6 to 9 10 to 14 15 to 21 Over 21
In 1993 approximately 62.1 million Americans suffered injuries, as reported by the National Center for Health Statistics in Vital and Health Statistics. More males (33.4 million) were injured than females (28.7 million). Those statistics do not tell us whether males and females tend to be injured in similar circumstances. One set of categories commonly used for accident circumstances. One set of categories commonly used for accident circumstance is "while at work," "home", "motor vehicle", and "other". A random sample of accident reports gave the data in contingency table below. Male Female While at work 19 24 27 Home 14 Motor Vehicle 26 Other At the 5% significance level, do the data provide sufficient evidence to conclude that an association exists between accident circumstances and sex? Type in Canvas the grand total. 35
Assume that 135 surveys are completed. Of those surveyed, 61 responded positively to effectiveness, 65 responded positively to side effects, and 63 responded positively to cost. Also, 26 responded positively to both effectiveness and side effects, 29 to effectiveness and cost, 26 to side effects and cost, and 16 to none of the items. How many responded positively to all three?

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